1. 1.2 Quadratic Equations

2. Quadratic Equation A quadratic equation is an equation equivalent to one of the form ax² + bx + c = 0 where a, b, and c are real numbers a ≠ 0. Solve by Factoring 1.Write the equation in standard form 2.Factor completely 3.Set each factor equal to zero and solve

3. Solve each quadratic equation by factoring

5. Square Root Method 1.Isolate the variable term 2.Take the square root of both sides 3.Simplify and solve

6. Solve each quadratic equation using the square root method

7. Completing the Square 1.The x² term must have a coefficient of 1 2.Isolate your variable terms 3.Take half the coefficient of the middle term, square it and add it to both sides of the equation 4.Write your perfect square trinomial 5.Take the square root of both sides 6. Set up your 2 equations and solve

8. Find the number you would add to make each expression a perfect square trinomial.

9. Solve each quadratic equation by completing the square.

10. Discriminant

11. Quadratic Formula A quadratic equation is an equation equivalent to one of the form ax² + bx + c = 0 where a, b, and c are real numbers a ≠ 0.

12. 1.Eliminate all fractions by LCM 2.Identify a, b, and c 3.Evaluate the discriminant 4.Substitute into Quadratic Formula Quadratic Formula

13. Find the discriminant, determine the nature of the solutions, and solve using the Quadratic Formula